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Symmetric alteration of four knots of B-spline and NURBS surfaces

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Abstract

Modifying the knots of a B-spline curve, the shape of the curve will be changed. In this paper, we present the effect of the symmetric alteration of four knots of the B-spline and the NURBS surfaces, i.e., symmetrical alteration of the knots of surface, the extended paths of points of the surface will converge to a point which should be expressed with several control points. This theory can be used in the constrained shape modification of B-spline and NURBS surfaces.

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Authors and Affiliations

  1. Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Li Ya-juan & Wang Guo-zhao

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  1. Li Ya-juan
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  2. Wang Guo-zhao
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Project supported by the National Natural Science Foundation of China (No. 60473130) and the National Basic Research Program (973) of China (No. G2004CB318000)

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Li, Yj., Wang, Gz. Symmetric alteration of four knots of B-spline and NURBS surfaces. J. Zhejiang Univ. - Sci. A 7, 1084–1087 (2006). https://doi.org/10.1631/jzus.2006.A1084

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  • DOI: https://doi.org/10.1631/jzus.2006.A1084

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